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Infinite Classes of Covering Numbers
Canadian Mathematical Bulletin, 2000AbstractLet D be a family of k-subsets (called blocks) of a v-set X(v). Then D is a (v, k, t) covering design or covering if every t-subset of X(v) is contained in at least one block of D. The number of blocks is the size of the covering, and the minimum size of the covering is called the covering number.
Bluskov, I., Greig, M., Heinrich, K.
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Class numbers of group extensions
Journal of Group Theory, 2010Let \(X\) be a finite group and \(N\) a normal subgroup of \(X\). Let \(G=X/N\). A well-known formula due to Gallagher states that \(k(X)=\sum_{\theta\in\text{Irr}(N)}k_\theta(I_G(\theta))/|G:I_G(\theta)|\). Here \(k(X)\) denotes the number of conjugacy classes of \(X\), \(\text{Irr}(N)\) is the set of irreducible complex characters of \(N\), \(I_G ...
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On virtual classes and real numbers
Journal of Symbolic Logic, 1950In a simple, applied functional calculus of first order (i.e., one admitting no functional variables but at least one functional constant), abstracts or schematic expressions may be introduced to play the role of variables over designatable sets or classes.
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On Dirichlet's Class Number Formula
Journal of the London Mathematical Society, 1978This paper gives a new arithmetic proof of Dirichlet's formula for the number of distinct classes of integral primitive binary quadratic forms of a given negative discriminant. Comparing his proof with the arithmetic proof of \textit{B. A. Venkov} [Math. Z. 33, 350--374 (1931; Zbl 0001.12003; JFM 57.0194.02)], the author underlines: ``The main interest
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On the class overlap problem in imbalanced data classification
Knowledge-Based Systems, 2021Andrei Petrovski +2 more
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A class of quadrinomial Garsia numbers
Integers, 2011From the text: An algebraic integer is called a Garsia number if it is real and larger than one, if all conjugates have modulus larger than one and if its norm has modulus two. Examples of Garsia numbers are given in [\textit{A. M. Garsia}, Trans. Am. Math. Soc.
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Class-overlap undersampling based on Schur decomposition for Class-imbalance problems
Expert Systems With Applications, 2023Qi Dai, Jian-Wei Liu
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